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Finding the Fourth Proportional to 19,874.16, 29,815.02 and 6,723

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Solution

The fourth proportional to 19,874.16, 29,815.02 and 6,723 is: 10,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.16 : 29,815.02 = 6,723 : x
  2. Step 2: Convert to fraction form
    19,874.16/29,815.02 = 6,723/x
  3. Step 3: Cross multiply
    19,874.16x = 29,815.02 × 6,723
  4. Step 4: Simplify right side
    19,874.16x = 200,446,379.46
  5. Step 5: Solve for x
    x = 200,446,379.46/19,874.16
  6. Step 6: Final answer
    x = 10,085.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.